Santino fires a paintball 3 meters from the ground such that the initial trajectory is perfectly horizontal. Assume the paintball does not hit anything and the ground is level. When will the paintball hit the ground?

Answer:

Solution given:

4x+3x=10x-45[exterior angle is equal to the sum of two opposite interior angle]

45=10x-7x

x=45/3

x=15

now.

<B=4x=4×15=60° is your answer

The required measure of ∠B is 60° for the given triangle.

An exterior Angle is defined as an angle produced on the outside of a polygon by extending the sides of the polygon.

According to the shown figure, we have:

The external angle is ∠BCG = 10x - 45.

And, two interior angles as ∠A = 3x, and ∠B = 4x.

As we know that the sum of two opposite interior angles equals the exterior angle.

So, we can be written as follows:

4x + 3x = 10x - 45

45 = 10x - 7x

x = 45/3

x = 15

So, the measure of ∠B is:

∠B = 4x

∠B = 4 × 15

∠B = 60°

Thus, the required measure of ∠B is 60°.

Learn more about the exterior angles here :

https://brainly.com/question/28835566

#SPJ2

Answer:

same shape and size

Step-by-step explanation:

Answer:

Similarity in my opinion

Answer:

Step-by-step explanation:

[tex]2\sqrt{3}\cos ^2\left(A\right)=\sin \left(A\right)\\\mathrm{Subtract\:}\sin \left(A\right)\mathrm{\:from\:both\:sides}\\2\sqrt{3}\cos ^2\left(A\right)-\sin \left(A\right)=0\\-\sin \left(A\right)+\left(1-\sin ^2\left(A\right)\right)\cdot \:2\sqrt{3}=0\\\sin \left(A\right)=-\frac{2\sqrt{3}}{3},\:\sin \left(A\right)=\frac{\sqrt{3}}{2}\\\mathrm{Combine\:all\:the\:solutions}\\A=\frac{\pi }{3}+2\pi n,\:A=\frac{2\pi }{3}+2\pi n4[/tex]

Answer:

2.046

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

12.5 multiplied by 20 is 250 which you divide by 2 to get the area. it plugs in to the triangle area formula which is 1/2 base times height.

Answer:

Hello! answer: h = 12.5

Step-by-step explanation:

H = 12.5 because 12.5 x 20 = 250 then we divide by 2 and get our area 125. so h = 12.5

Answer:

x = 5

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h is height )

Here A = 20, b = (x + 3) and h = (2x - 5) , then

[tex]\frac{1}{2}[/tex] (x + 3)(2x - 5) = 20 ← multiply both sides by 2

(x + 3)(2x - 5) = 40 ← expand left side using FOIL

2x² + x - 15 = 40 ( subtract 40 from both sides )

2x² + x - 55 = 0 ← in standard form

(x - 5)(2x + 11) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5

But x > 0 , so x = 5

Answer:

MAD would be more similar than mean

Step-by-step explanation:

Without doing any calculations, I assumed that the average value for each neighbor is different since their dot plots surround different areas. The MAD is the mean absolute deviation where it shows how distributed are the dot plots compared to the average value. In this case, I can tell that both neighborhoods having a very similar distribution of dot plots relative to their average/mean. Hope this helps!

Answer:

12 cubic meters

Step-by-step explanation:

Large - 4x3x2=24

Small - 2x3x2=12

24-12=12

Answer:

Part A: To find the volume of a cylinder, we need the dimensions of the cylinder such as the radius of the base of the cylinder and the height of the cylinder.

Part B: We have given the base of the refraction cup as a half-circle, we can calculate the radius of the base.

The diameter is given as 8 cm so, the radius would be half of the diameter.

r = 4cm

Part C:  If you put two refraction cups together, we get the full three-dimensional shape that is a circle.

Part D: The formula for the volume of a cylinder is V=pi r^2 h.

Part E: The volume of a refraction cup =

= 4/3 (3.14)(8)

= 33.49

Part F: The relationship between the value D and the value from Part D is as follows

The volume of a cylinder = 3 times the volume of a refraction cup

Step-by-step explanation:

Q) What percentage of sudents who passed the test completed the review sheet

A)

19/27*100

=70.37%

Nearest 10th of a percent

=70%

Step-by-step explanation:

In your solving toolbox (along with your pen, paper and calculator) you have these 3 equations:

The angles always add to 180°: A + B + C = 180° ...

Law of Sines (the Sine Rule): When there is an angle opposite a side, this equation comes to the rescue. ...

Law of Cosines (the Cosine Rule):

Answer:41 m

Step-by-step explanation:

Lets use the Pythagoras thermos to solve

40^2+9^2=c^2

1600+81=c^2

1681=c^2

41=c

The value of the hypotenuse is 41

I see you already attempted this question and got it right, Good job!

Answer:

41

Step-by-step explanation:

Use the Pythagorean theorem to sovle this problem. The Pythagorean theorem states the following,

[tex]a^2 + b^2 = c^2[/tex]

Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle.

Substitute in the given values and solve for the unknown,

[tex](9)^2 + (40)^2 = c^2\\\\81 + 1600 = c^2\\\\1681 = c^2\\\\41 = c[/tex]

Answer:

Sorted Data Set: 2, 10, 12, 13, 14, 15, 17, 18, 18, 20, 21

Mean (Average) 14.545454545455

Median 15

Range 19

Mode 18, appeared 2 times

Geometric Mean 12.803503609558

Largest 21

Smallest 2

Sum 160

Count 11

First Quartile Q1 = 12

Second Quartile Q2 = 15

Third Quartile Q3 = 18

Interquartile Range IQR = 6

9514 1404 393

Answer:

  16 and 10

Step-by-step explanation:

Let x and y represent the two integers.

  x = 2y -4 . . . . . one is 4 less than twice another

  x^2 +y^2 = 356 . . . . the sum of their squares is 356

We can solve these using substitution.

  (2y -4)^2 +y^2 = 356 . . . . substitute for x

  5y^2 -16y +16 = 356 . . . .  simpify

  5y^2 -16y -340 = 0 . . . . . put in standard form

  (5y +34)(y -10) = 0 . . . . . . factor*

  y = 10 . . . . . the only positive solution

  x = 2(10) -4 = 16

The integers are 16 and 10.

_____

* A graphing calculator can provide useful insight as to the factors.

Answer:

16 and 10 is the answer.

Step-by-step explanation:

Answer:

4300

Step-by-step explanation:

i think this is what you want

Answer:

5 f

Re-order terms so that constants are on the left

. 5

5 f

solution

5 f

Answer:

Step-by-step explanation:

we need the arc length formula . it's Arc length = 2πr (θ/360)

Arc length = 2π5 (144/360)

Arc length = 12.56637 cm  

Answer:

thanks so much! you too :)

Step-by-step explanation:

Answer:

same to you.

Explanation:

Answer:

y - 9 = 1/2(x + 3)

Step-by-step explanation:

find the slope that is perpendicular to line y = -2x + 8, which is the negative reciprocal slope: 1/2

substitute the new slope 1/2 and the given/known point (-3, 9) into the point-slope form:

=> y - 9 = 1/2(x - (-3)) => y - 9 = 1/2(x + 3)

point-slope form:

Answer:

3 / 10

Step-by-step explanation:

The required outcome = mexico ; number of spins = 6 spins

Total possible outcomes = sum. Of all spins = (6 + 4 + 5 + 5) = 20

P(Mexico on next spin) = required outcome / Total possible outcomes

P(Mexico on next spin) = 6 / 20 = 3 / 10

Answer: ...BEDMAS..

steps,..

70×2+20×30+19

140+600+19

740+19

=759

.... and I'm not all fine lol...wau guy??

Answer:

N=10

3n+6=36

3n-2=28

Step-by-step explanation:see photo

Answer:

The dimensions of the iphone are 2 inches by 7 inches.

Step-by-step explanation:

Given that,

The dimensions of an iPhone are x – 2 and x + 3.

The area of an iphone is 14 sq inches

We need to find the dimensions of the iPhone. It is in the shape of a rectangle. Its area is given by :

[tex]A=l\times b\\\\(x-2)(x+3)=14\\\\x^2-2x+3x-6=14\\\\x^2+x-6-14=0\\\\x^2+x-20=0\\\\x^2+5x-4x-20=0\\\\x(x+5)-4(x+5)=0\\\\(x-4)(x+5)=0\\\\x=4\ and\ x=-5[/tex]

Neglecting negative value

First dimension = (x-2) = (4-2) = 2 inches

Other dimension = (x+3) = (4+3) = 7 inches

Hence, the dimensions of the iphone are 2 inches by 7 inches.

Answer:

A

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Once again we want to use the relationship stated earlier

Where A * B = C * D

Once again imagine that the segments in the given problem have letters

A = x

B = 12

C = x + 1

D = 9

Now we create an equation using the relationship

12 * x = 9(x+1)

now we solve using basic algebra

step 1 distribute the 9 to the x and the 1

9 * x = 9x

9 * 1 = 9

now we have 12x = 9x + 9

step 2 subtract 9x from each side

12x - 9x = 3x

9x - 9x cancels out

now we have 3x = 9

step 3 divide each side by 3

3x/3=x

9/3=3

we're left with x = 3

Answer:

x = 3 / C. 3

Step-by-step explanation:

Hope this helps

Answer:92.7

Step-by-step explanation:

Use the compound interst formula: A= P(1+r)^n

750(1+.06)^2=842.7

Now substract the principal to find the compound interest : 842.7-750= 92.7

Hope it helps

Answer:

The margin of error is of 0.17.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

He surveyed 35 mortgage holders and found that the proportion of these that did expect to own their house within 10 years is 0.51.

This means that [tex]n = 35, \pi = 0.51[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

a)Calculate the margin of error that the high school student will have.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.51*0.49}{35}}[/tex]

[tex]M = 0.1656[/tex]

Rounding to 2 decimal places, the margin of error is of 0.17.